{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# K-Means and VQ\n",
    "*Complete and hand in this completed worksheet (including its outputs and any supporting code outside of the worksheet) with your assignment submission. Please check the pdf file for more details.*\n",
    "\n",
    "In this exercise you will:\n",
    "    \n",
    "- implement the **K-Means clustering** algorithm\n",
    "- play with the hyperparameter K \n",
    "- implement the Vector Quantization with K-Means\n",
    "\n",
    "Please note that **YOU CANNOT USE ANY MACHINE LEARNING PACKAGE SUCH AS SKLEARN** for any homework, unless you are asked."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# some basic imports\n",
    "import scipy.io as sio\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run your k-means algorithm on `kmeans_data.mat`. Note that the lines indicate the iterations of centroids."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kmeans import kmeans\n",
    "from kmeans_plot import kmeans_plot\n",
    "x = sio.loadmat('kmeans_data.mat')['X']\n",
    "k = 2  # modify if you want\n",
    "idx, ctrs, iter_ctrs = kmeans(x, k)\n",
    "kmeans_plot(x, idx, ctrs, iter_ctrs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run your k-means algorithm on the digit dataset `digit_data.mat`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from show_digit import show_digit\n",
    "x = sio.loadmat('digit_data.mat')['X']\n",
    "for k in [10, 20, 50]:\n",
    "    _, ctrs, _ = kmeans(x, k)\n",
    "    show_digit(ctrs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Vector quantization\n",
    "Compress images with K set to 8, 16, 32 and 64."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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V6FkAHwMApdQhItoG4DCAVwDcopT6Rc4+lgIR8U95jvYcPI1lC2bVMILJkO7urbUhuubMB5CtPhBgjrynjf42BpIEJfvTaq+OD3T7owhkrZt0v6P9nwL40zydahWYcE1qDksGYMqOYDAjSObg8+nnl8izvoDNc5Q14mtihFZLCxdk31pqM0xXrF5pXiVPErgprtDdOy9hhC17x612AUsFiaJepC1twhc29aPZhrUvGsGkFTNoeOjmvthFOgWWAjYX6/jYYazdNJq0CQnEFY0srlqThNKJjZmijIxRFCpmEFg0ucu6j92nNu+SrgIxQ0jbwTRlFMgWvDJNdEpjAtP59WszY7iIvmiGYHdzq1HKyT2thm/MgOFypUoD2tUuxH7IkrHryityzUmw9SlNkoTApD62ApVkEJi89NpMx42PHcb42GEMn2x3tklDEXpwiHRwMRFLB1eCXloCn4Rp9JfbTjx3yCkhmiE9phUzFLn4RihYAgyfbHcyRaOQ1ndd9dG9US4JYNpXBONKiaBLhxDiL4pRphUzAI31kbNXSX6zu1Uf+ZkhTDEGCZO6kVYkIIuBLK+nn1t3q5okgu23L/je0wjXtt+lShWlZk0rm6HRng62JaRNsW5pdx3h93dOJIE3l51gi/5uHXoqIVrXvGkfpgixRfRFxl37ihp0Tjx3KCHmrjnzE2ZwSQrTviIYovSSwaSTmkatol6OjCn4Qrpix8cO18UaxscO172sNALlWWJ5ixvzuXzbpbXN+5x1CaE/FxtRd82Zn3xs58yLUkoGk4/btF1uK0oqjLUvAg6OOLNUdaTlJF21Yo11n6vffG+mUiuhkWV5rA7bvIJQj1FInpONgNNGeT11xLdvPigVM9iYIG2fz3l92vM1xtoXYRmOGtuYmGT4pHsOgw5TX2wM72IIF0z37DpGVg90eZHSnqMewdbPkUbsNttC5nQxirYPS8EMP/v5y97SwMYgvolbNsbwebCmTFUA6O8ExsfMx6SpRz6MyoTJ7ZoxYd7XLvCJU8j/oSqNZA55bCMcJaVgBsBfJNu2m7wQelamPIeLAD/2brNUMMEnbVuHvL5L+tngoyJlURsX9syui0TbCDvN4+TapsNkP/jaEkWiFMzwhtfPSH7bRLNr5N9/5HidwQpMFQFmj45sI/dledCcmMfeJJOaJD1JPgEsF3RCbHSVatszNzFEHtjUJpuBnbYvDyharba1eEdXl7py6TWp7fSHn1YZOwRs5H5s/ceBxz7lfRyrSzpDSKPZZljmmT+Qx2HgUrP0WWY+Br4vbHaAzhAhrlLZdtvDW0aUUouDOiVQCsnws5+/nNpGvhRbwlsW3Lp+AwBg0Yr3YWTn40HH2hjBBJvfPuvIqqt6jZAURUSebXEECRfh61JA/1+kdPApIvZOIvoaER0hokNEtD7e/iYi2kVE34+/Z8fbiYjujQuJHSCiy4vq7PYdQwkjuIJZIeBaSZPHnnSOmHsOnq77DJ9sN85f0F2ptqzUvCqGzA0qghEOHDsVLAls7TnXyBUXCE2j8FGd8sAn6PYKolIwcwFcAeCWuFjYbQB2K6UuAbA7/g8A70c09/kSRKVgvping/ywN95zN8bHDifzBdJG4qtWrPFmGCamA8dOYfLYk8Z4gu5SdU3i8b1mkdDtkawep1CbxradA2R6Ap4c0XXVSH7r7U3HSEYsQkL4TPt8AVE5GCilzhDREUS1kFYjmhsNAA8C2APg0/H2L6vIGPkmEV2oFRAIwv4jU0tH8RwBlwfnocd2J78njz2JrUNPealVrHYcOHYKVw7ciD2Dm+sYgP+z4Qz4qUjy/I3MneLrNAKmvvvEEkyqkc175JOXJI/Vg4NNXRQ9rqzXB+BbADqZwOPvt8bNugD8UBxmLCRGRDcR0X4i2n/27IS+O4EvI3T3zqthBH1fCBKGsESc5SQffVYc91mfNlnm+cQMSVy6y9fmNuXtcmTvmjPfqT7J3/LD0BlD748uBYp6rt7MQEQXAPhbAH+glPqJq6lhW53LShYRmznTnPLsywi3rt+AO7/wX+u2t/UswQ2r0k0WSbwMZoi1m0YTG8EEW7o22yK+wUDenzetJOvxrtV0fPolJYFkfMkkzCg+Ko0eYOPzmYKYRaXieHmTiKgNESP8lVLq7+LNJ1n9IaKLALwYby+kkJjOCDbYpAGjrWcJPnNL+rJUpkDc1qGn8MC9nxXH1vfFVhJGP7cP8oxweSRP2go8pmu43KF6xFmXBj4BNb2dVMls18oLH28SISoNc0Qp9QWx61EA18e/rwewXWz/cOxVugLA6az2gizJYpIKaYwweSyqX9bWs8SZLMdqlE0nfuDezyZ9kP2QUsHECMzQZZpE76p+rQcGTeoSw6bjm+wDH0lgm+kmmcAmHYqCj5p0JYAPAejX1mP4HICriej7AK6O/wPAVwGMAziKqPTkzaGd2rfzkYRAbepJGiPocBEkE7KpzYFjp9DWsySJRwBTTJHmUgWil9wMW0Ea6CHMpxfylQRpshVs8wpsfv+0pLy043R1S0fadNEQpDKDUurrSilSSi2U6zEopf5ZKbVcKXVJ/P3juL1SSt2ilOpRSv1LpdT+LB0zGaYMX0YIWWkTcIvchT2zM8U2xscOFxokTEOoFNLvOW3UdaVe+0AnfhNzme4hbZ5DESjd5B5+OHrFOkZoTSKpKvlcV4IJhc9hKzIGRKrWiecOWRmmGQzhyn0ywRWoK1q1MxGtTYXSXabNUjNLxwwcWLMV81326c1B5+MXzgRtg/SC6JmYcgkmXRUKCe4xw5XFhmCVSrcNQvqXljTH55LqjE9VDKleulS1IlE6ZnDBRz1KI3pf2FKTb1h1eR1D+IpptjEkERaBLCOobdHCtOxaiRCitAXYskzlbKUB3TQUzfEhKQkmNUYS1xODm9H2zLa67UC9uPeRFDaPTRbocxBM0OdSF2HUm1Iq9JHeNrFHpmuUBaViBlaRTAj1HgFT/nMfadHdO89JIGPti3DH7rN4YnBzzTEmuEYuyXQhATkTTFFuG/RylKZrhvahiKJfvgzxmioiZrrZ0FlkOtHvP3IcN6y63LoSjITJk6GPtF1z5mOsfVGdv9uUfJbF8xQqJXzdqLqE1I8LdccC+YlTSpDQiHSjUBpmkFJBT5BzeZCKshEYi1bUL11tevFpxJ7n5fkyhT6fwfRb35a2wLlLOupuUOke9QnASejH2vKUmonSMIOEHmgba1+UeozNhfrE4GbcsOryQtYtsAWcTITr+0LTJtP7zi8wVeUGzFLBdu005B2dy0DwLpSCGV5++efO/b0TI8btLqkg9zGDpFW3s52T04WlfmsrNiCPcaWASOgpEMAUES9a8b7CvE5ZbAUb8fqWgdSP75ozH6tXripU7ZlWtVZfnqiPNkt7oaNvwHm8lAo6MQ+fbE+2uV6AS2+2pQ8XkZatu0WlOiNH98VzL8YNqy4PshH0Snyme0yrzmGrZJeVmDl+4KtC+WDaRqBNCHGRmhiCDWjXww2d7piVCUzruklsHXqqxg3K98K2DDOGC3otVpOK2Kh8qbyjtKtcTKNxTjBDEVjYM9uaYi0JNC1tg5FVKriMTpd0kgy+sGe2l5SQEsKnr1nUsSzEb5vamTfvKS9KUR1Dh+5SNRFoqBfJZUA3cwSyGeGSEUzSjbfJ74XxEttpC6EfOHbKmAeUt0JHUbDNfwaKTcRLQ6kkA1ebCIXMP7Ixie2FX7VijddsON/zpcEknaTXaGHPbOM98Db9u61nSY0E0AsTs63QbJWjCIT0uVnVMZoG32oTJjcqzzuwwfWwfFSjRibXZS35wv1mgr/rvq/UBBjluU48d8gpCXyJyeZdKpLZQqRBSOAuDXnqJv0xEZ3QJvzwMbfHdZPGiKg+ihUAOalGhz6C2qTCiefMlfeuWrEGi+denBxnG5WBMEngEvtsn5heXiaGe+xTODM6iN6JEfR3TqB3YgTbdwylzlPQr+VLTKZKFfrvouATk8hag8kEH5uB6yY9RUQdAEaIiNeI3aiU+i+ycVxT6ToA8wG8HcD/IqJfUUr9IksHTRHhIlFEJTrfqY0AnKv57D9yPIqp9NyYeh62HZ6wzASUE/DPNcjR3ucemjnT7QWl1FPx7zMAuG6SDasBPKyUOquUOo5o+qefiyYjTK5XSeCmhykDYgt7ZidrQGeZ8BJCcMwIrmgsZ8e6MHnsSWM7vVqHKYtUpmn7SrxGenRcKdymQmS+5whFnrpJAPCJuITkVi4viQx1k15VrxqvFzqrzUbI+oNkgpTEzcvephFHI4hCinrflUJ9GEZC77ecdBNyjlakUTTLo5SnbtIXAfQAuAxRxb0/46aGw511k15H5m6YZrW5XKo2QtbtBTnZ3JTaDNiL7vKcZpddYLsub9O3S5Wma858axGEUAbQsX3HkHPyji1prtEMEJrkZ2rXLJvBWDdJKXVS7N8MYCj+W0jdpCzg8pCsNvlkm54ZHUx09DOjg0D7IuvkHZ7jLAk6y4iVbkTXMyIzQl6GYJQxUU5HkZ4iH2SumxQXDmP8FoCD8e9HAVxHRDOJ6GJEBYidEbK3dMxICgqngd2JJneoabSTo7DJcJUZsWMGRmDwizEtiqLD9vK6e+cFeZPantmWfHSYqvz5qFimmWdlzSIF/Kp1FMUsPpKB6yZ9l4iejrf9ZwAfJKLLEKlAzwL4GAAopQ4R0TYAhxF5om7J4klKY4w0F2hRVSJMkNXzsnqSTKPe9h1DSYmctsn6hRQBex0pFyOkLcx+rqMoRi7Fyj29b+9Qv/2eS2qiz65pnjojMDHrDKDPa5aSIc3vbjqfKV5hWwbLFttwobt3Hu5cPtO4L5QJZNlL038JH199kf78NPi6VHVMi5V7zvzcX3DYGCEvTFMhgVp7gUd2HyLnNtKFq79gSVj9nRNYtqBYRtChM4LJbVmmSfrNthlKwQw/OvOyV06SSTXKEjQLfbiSOHwYIYSYuubMR++E/yLsIQwgGZeZMi1qbOt7WRikkSgFM/jClM1pQ5aXp0sHk9GsS4bxscN1zDU+driG+Gwpylyh78xo7Uw+yQS8qmioFDDtm64EPa1muvmCU5clbPaCi0hcD4998C63rC2dwieBjdv0Toxg0eQunBkdTAgeiBhBLobC//V7M8UrbODSl+cKTFNMfeyZvCilZHjg3s9i7QeW12zj8vSTYpseJEur2Kx7c/JMJrF5lKRUkPtkm8g+mIU7dp/FncunCF0yBGOKUdqtbmIXU+RdCLJMNoQNybP9xjdynacU3qQZ55+v3jLrguT/uqXdiQ0h12hgSGK5cuBG42IbrkK/Lq8SUM8MNk+MKenO53x3Lp9pNYpN4HXjfBmA+6ozYdmJ2oa0QYv3Twtvkg0mRgBQo1Y8MbgZwyfbm/rCQ4NtDOk2lffggr4giq83S/dancvxBRdDF/neS2kzbNk7bmUEHTxqcr5Q15z5QWqDzbuiE4/ur9dhsg30c+qQtoGO4ZPtdUaziRE4cs9BSj2op/fnXIApquzyck17A9o3e1MixP8P1Ba/1YlXJs7xcbbz29Zt0OMINriYQsJ0DnmcZJbxscNeRFJ2iaGXqmlkf0urJo2PHQaW9/m1E1g892Ls2+l3jTRiSdvPejnbK9JO0SWQD7Hb3Kh8j6YBQq5jEWIsZynJ0izp4qMWNQKlZYas2HjP3ckIadOvXbPNTG3ToKde+JxbukxN7lP92pFTob4vyxbMwtpNo161X/NM03SlcxSFVjCARGnVJN+JPfrLSWME0zE6Vq9chdUrVzlVGz7/vp2POINy/Z0T1nwjAE5JsG5pd9JXW73ZPQdPO+9VqoL8n/vlA6keNosRXFLLxsRFMExpJUOI8QyY3Z6m7TpsD3Fhz2zctcNst7iITzLiQzf3AahnBF0S6CohJ+yNtK3CeLy4uo0ImJFcgUBGjd5tqV9rg35+X2YKsf1MXq/QST55UFpm8EH0QuoJM2QE018AB++27xgKPq+c+HPr+g3A5C5ne2CKWJhB5P8teyNGWLe0G8MnracIUvuA6J57O72bG5HFwZEG33qujbJdzmlmyAvTw+ZUDJcN4JIKt67fMFUnFdG8an1yzpa941i2oK/uXBxp5ja1i8KPGq+5euWis377AAAeRklEQVQqbHf0SUISURox93dOONuk7Q9FGVy/qcxARO0A9iKS9+cDGFRK/VE8i+1hAG8C8BSADymlXiaimQC+DGARgH8G8NtKqWcb1P/MSIsUh+rH3b3z8JlbPuRsw54fuZopY/hkO/o7J4yj/J6Dp2ui8tIuOjM6CKA91W7QPTSSmPXfJujnHh9z3moNTM/SdJ087vQi7JnUdIx42ucblVI/jedCfx3AegCfBPB3SqmHiegvAHxHKfVFIroZwEKl1MeJ6DoAv6WU+m3XNfR0DACxvu0GG58hD6Qo0at7eq4csNc6YslgS8l25Rw9dHNfrDKNWwneFhA0pZ3wffrq/FnKfTYStnfc3zmBu/5htLHpGCrilp/Gf9vijwLQD+B34u0PAvhjRBUzVse/AWAQwH8jIlKBSVBREpvdC8OIRtOp/2n6s8mgDGEEneAeuPez3scCduIy9bm7d14NA4XOnGN0zZla4zok8a5sjAC4VNT85/atjnEegBEA7wZwH4BjAF5SSr0SN5G1kZK6SUqpV4joNIA3A/iRds6bANwEAOe9rra6zK3rN2DjPXd7Bd102GZzmeBLFFLyyNE5lBFM/XOha858DAf20YQ88QUJmfzH/TPFBJjxTNfKytDNgBczxBP6LyOiCwH8PYC5pmbxt3fdJABfAiI1yau3Frj0Zd2/HioFZEULeY0sjGCD7mPXJwS5+hyqK+dNydYZS/aX01pMDMLbbIOVa96zq79FMleQN0kp9RIR7QFwBYALiej8WDrI2khcN+l5IjofwCwAP87SubWbRr1sBwavGCoNMV93nYSelyTPD4QzwuSl16LtmW3o6BvA6nibbcko3z6a+iXhE3coAr6MqxO97XjXsabt8phtD2/JfB+AnzfplwFMxozwegC/AeDzAL4GYACRR+l6ANvjQx6N/38j3j8cai+cGR2s8Z6EoKNvAP2jgwAi4zRLxNI1OmX1Wkxeei0WIlsBA5ksmBVFM4Fec0knaJtqlrUfzUjJ8EnHuAjA14joAIBvA9illBoC8GkAnySio4hsgvvj9vcDeHO8/ZMAbsvSMZ/lbk1Y5BHoylMQIM196gteoCR0IXRfNEM3txUUCJk/Ycsadl3PpIo1JQKtlDqAqNiwvn0churaSqkJAGv07SHo6BvAYgD7dtqT2HSw3bB20yhuXb8h9r/XwlSmxSUFdIJyrRXhAzlfO40BTEaqbhsV4VtnlVJ3FbtgU1tCJIBJfXXZDHq+kmSIaT0HetGK92Fk5+MAaqO1OjjlWY+GLuyZja1HFqFrjv0aPkygE1/IqqM28GKDrop/Lm+NjqzJiC4V1DcdXPYvdGTWCdx0Htt+Pflw2k3u0UcjObKHzBcGgLvu+0pQex5lOK9IepBs/csCZqa0NeQaqR/7VtXwcdXmHZnTZqnJ8+uTfPTrFvHMSsMMAKzFh0PD9GluVvlf5iExE8iHftWKNejuneeMMPtCLjyYtnRt2sv1nQvdSuQh0LRjG5HLVDo1afhkO5ahlgGi1IH0aLSEadSyxRpslbFZFBdNdMwQLCn0UpY2pM3vbhVsbk89Hyo0xuETGypSipaCGWa0t9ckqgH1ozv76m3Q0zIYoYacPI5Vprwqkk78/F+uzMl9sRmL3CcgXSq49P08EsUnByzJeZoYidLEJ0ZqqpeY7jFkZptPkC4rSsEMv9T2alJYC+gOXvDcBN8cf5MEkYwAIJeKxATPC6kAfuXybUxcRFEwH5iS/qSjQncycL94UJPo75zAsMiU7e+cSCYX8f+OvoHETlz27qM1x++ZiGhjpO3qqM2cRcnz6Q2cpORCKZjhJ5PZTRdZfyitnIsJNlHMVfFcxchCsH3HELrmzE+MZxtD5E2XCPUCMZiAmdjZjcxxG37G3K6/k6XlRPzbLws2KqA21ZbPl+YwibZFbXpjqRMNnlPq813/4NUFK0rBDEDkztuyN/o91l6rPnT0DURFh1HcMk4Mm4jOayu09SxJ3MNSnPMyWy7pkMYQRdsNLJXZTb1swSzsYeJcMAuTl16LZTCvHpRWDK2jbwBAlMrMjMWjPFDLBCwdWK0yPQMpdXxjUL4oBTO8PDEBzJyaz6CPxmdGB4EM60HLlwzYq9PJitl6uZeshDd57Mno5c+9uual7j9yHAt7ZtfUhg1BXkYwEVj0XOoJK43QlglG0W06JtTJntl4YnBz3bmSTAGh/pwZHYyYZ8dQ0o6zYBlcqFki1PVuQ6lcqyZ0985LRhdgaolaCX440gAHpgJLXKRLzo9gFypXqN6385Fk9C6qCgT3VR/ldMO5jJCDiE0a8/253knbM9tSmYoZgyUDF2VbvXIVeidGEumhM4Jc164ICVEKyZCGhT2zvY1qfTQ3SQWGHtRhqRBS0zQr2IawIa/tkIY0B0PIaGtjFpMaY/MKDp9sR//oYJSTJudCxDlqvTFDyHMWqSIB5wAzdM2ZjycGN6d6dKTOKytmbNk7HqtB5miprhoBtQzlIyVci6jIFI68rsAimVO/L5OqZFJH5DaXxLDtk9snL702kZJdc4Dh5w7VpNDIwap2MCtOGkiUnhlMYLFse+A6Q9gmpPjMA+A2bc9sM6oDgHuh9icGN9csqWvL5W8VbExvq37uQiJNDm5Obb/n4Gng4Gb0olZqm6RhvUdvXnz+qXO9ZtQkaTPwyj0hsQhdJbC5S23V+STT6Uzhkgo8oWcxphL0bJNcikCIrTPllZknFlecWUdYoYQW0lZfd8I2OOmFDfTnVpSEOCeYYWHP7IToeCmrtp4lQM8S4LFPJe2k0adLB5+IbX05FLda4rPGHKtJ0mjOMqPNN7ku1PiPnAq160ZI8DP1rXDIo7WEy/6Q/U2bEmo6b5GqUqo3iYjaiehJIvoOER0ioj+Jt/8lER0noqfjz2XxdiKie4noKBEdICJ3iqYHnhjcnPyWa7pNHnvSqrow0lITZBU823HyGjW/PaXTgWOnGjKBp1ngJbdc2HPwdN0zlJ4e00fGDOQ70NXbImbK+cDHtXoWQL9S6lcBXAZgJRFdEe/7T0qpy+LP0/G29wO4JP7chKh8TGaceO5QTe49E6BpsUOgdmTjh20rw+JKZ5bbs641rTNqCENkeem+dWXHxw7XlLH0QX/nRE1b6dbkb32+eqrNEJ+3a858XLViTRLv8VkaDIicI2s3jeKO3WcLiTWkMoOKYKqbZMNqAF+Oj/smosIBF2XtID8IfRSWjOB6EDaG0GeM8X6b2N5z8DTantnmHQHndm3PbPOaiupCEV6k1StX1SX68dRaSdi+4NE9q59fLtBy4rlo9VPbAOCTp1WEuuQVdCOi84joaQAvIpoD/a1415/GqtDGuKwkIOomxZA1leQ5byKi/US0/1X1qvXanMvDE3aknr7n8zcagzqmB2OrIJcmIdYt7U5SBHgUSoNkBEZehvBBCNNwsFF6clxMsWzBLOPsON5eVBQ4DbZ7bIpkAKK6SUqpyxCVhFlCRAsA3A7gUgD/ClG91U/Hzb3rJimlFiulFr+OzN146LHdCUGxV4fVoz2fv9F70o+LSGxGc3fvPKxeuQpXDtyYeD2uWrHGuyyjCYsmdwVlWRYZVzgzOmjt+1j7ouRZDp9stxKWnsqeRaKY0N85gS17x73u1+TskGpfHgSlYyilXgKwB8BKpdQLsSp0FsADmCoOwHWTGLKmUiHgNaJd5SeldAidj8CpGvuPHEdbzxL0d04kI2ka0tSojr4Br2IAWTxDNqQxMHtsJEPoEtDkcpVgJjJ9bNCzA2z3G1IXKg8y100ioouUUi/EhYl/E8DB+JBHAXyCiB4G8B4Ap5VSL/h26Nb1G7BdJGpFRuhUOfa2Z7Z5FxbTMyp9Uyw+c8uHEqNZt1W27B3HlQOmo/ywaHIXRtqudibqFckIoZDPZ62YLKVXDjeNxLbRefikTbWcan/VijVetoFtNmIR8IkzXATgwbje6usAbFNKDRHRcMwoBOBpAB+P238VwDUAjgL4GYCPhHRo4z13T43kj30KH9k0WshkfMA+G06CH/zCntmRWoZr0dE3gK4jxwuZ2xCNsLsiwjLUhrKVqWk0+LoygxeYIja5WEqUyzV1nIuQJVzTOH2ndjbStZqnblK/pb0CcEvWDkXEGIn1qYX7JgoLrqRJB1f6BR/7kd+/3VhiMk1FsgWJ5AtuBBPY1oxjyJHXpzhX1v5mJeRGMoBEqVO41y3tzmWwAvVrLLP+b4Np38Ke2eidGKlZ71kGAkP6AiCZ2KK7ExslDdhb5lsmxgec6ZtldmFWNPoapWMGvmF22Q2fbC/MdSfnPdhUL2Y+0/VkBuqWveOZgnE8kSVttM4CXer5EL88JoRZ9JpHPtdOO7dPeZxGopS5SUy065Z2o6NvFc7ErjdbZT1f6ASuV+yWL2v4ZDuu1Pv0zLaal872zZUDN3oF46KVhoYwPhb563kecVGMYLqPNOgpEKbz+BKhK89IbrOVyLSpQ42e28FIXcaqGdCXsZKjtgz0yAX/ssDlHpRVHx6497N1cygksd+x+6yR4G5dv8EaXDMdU9QEorSK5VetWOM0/k39aKY3y1Vy3qfUD7d54hvfyLWMVenUJIb+cvnlFKEumVII+jsnEntCn5apz+2V/ZHYeM/dRt/62k2j1tEwD9FxGkla6f40L5h05crR2yfjt0iYJl6ltZe1V/OilMwwfDJavZK/dUM6K0P4The0vQReUNGFmqTCS68VHrEpFBFHWLe0u1CDOC1hsZEMkVZ0WP7Xa64WqUKVkhn0l6x7hBhpTLF2k3ntZImpdZZZj5+oC+/zaG+zLxiykNbaTaP4yO/fXteW68lytmYIkclatI1afNBmJ9gM7bxMYiN6/q2P+lnVKR+UkhkY42OH0TVnfk2KriRI2wjPxOuKVJsqKzCBMcFJdSlNIuhqhulb2jyuVYVsYM9aCEwVxX0gmUJnBN6ut/U9pyRwk5ozPnY48VbJ1BWTOsTtpq2aJHEiLkvIRHDn8pkJQdlyX2ySRG/D5wCmGEAa0ieeO4StQ08ZVxHyITDJCLLfpgVCfJBlFM47crMU0NPc5XbXdXVbSY7iTMCcvMj7OAre3zmBM6ODNfEYUzn8ouaRl5oZpK3Ao6qJAYpKH+aXvGzBrOS36aGHPnwZrDP9bzRCGSKE0fXfuuRgwmb0Toygv3MimcPA71cneP0Z9XdOoHdiJCkqxv97J0aweO7FhdRcLTUzAKgZTaVrdM/B0zWuT1+G0NtxQG/ZglnJi9SnMLIo1sUxj5Y24umaM7/upe45eBrbdww1PfcoBKa+SUkgCV63H3Q3LWfg8nPj4g5cbFhiqo7rxFR1PQGW0HKfLFicF6WMMzC48jPDVdfTN/6g2wl7Dp7Glr3jeOjmvuQ3UOu7D9G5+aUvnntxUgFupO3qmkXCy8oItrhHWh0pW4zCpEbpqhHDVL1bQhI9q5l6+7v+YfTcjzPMaLcbp7q+bpvV5isZbEyzdtNooh4B/t4afYkluXpnR99AoYxgmppaJGTfpHojidqUcqFLR90bKP/v2/kI9u18JJlQNHyyPVquWBB2R99AnVTQGYHbmX5nRSnSMX6pzTztkx9gb2f0/47dZ2uKCS9bMAtr4xTvrJHpZQtmYfhkNPJFFfmQmuYN1EoAAEaxrucgFWHM8ncjy192986rK8Cs/3bNEGSwQczbbLEBJnQe/U3Pkvf1d04kRdmkelSEqlQKNelXuueon542j+ysKvlIgCyqEv9OkwTyJfsYwFIaAMWpRvw8snqkfM6ve4B8p2P6eJf0dq5naSJwvu+uOfPrVK1poSY9+4MT1n0cABtpu7pO39ddqD6qkon4fVSi8bHDWL1yVfLyFk3uwqLJXTUVos+MDtYsaytLs+SFHJGltClaZQrNNDX1wWZ3sGtVSgp+Vvz85EdCGt4sWaQRXQS8mSGukDFKREPx/4uJ6FtE9H0i+hsimhFvnxn/Pxrvf1faud/SMSP1+rIcuVwkI0uJEwZHqH1n0m285+6kL3ztZQtm1b04WVe1EekSWVKui0bWFBMZZGP7Sl+wRCdu+Yw7+gYSicvqlCklPgtCJMN6AEfE/88D2KiUugTAKQAfjbd/FMAppdS7AWyM26XCRZDjY4fR0TdQV8SKISVFKHOERnQ33nN3zboP/C1f4vYdQ9i385GGEmorPVKmuQtpJXd0dyszgUkV0rfJd8puaT5fUW5VwL9u0jsAfADAlvg/AegHL7IFPIioKAAQFRF7MP49CGB53N6Kn0y+LpWzuUiArRYokL6sklSzHrq5rybXx8aMphwd2ZYlxJnRwaYwQVlhkwz8LNg7xVIhWcxQe5/SeI5qt84yLkcQzXUZSD55Z0QC/t6kPwewAUBH/P/NAF5SSr0S/5eFwpIiYkqpV4jodNz+R/KERHQTovKTmPX6trpCwSZ09A1MrTWG+gcZjdgRoZrmG7v+7zl4uobI2e8tJ8LLuEceaVR26EauTug2A9v17vbtfATrlnZjDLUxBj2QKuMJUUnLiaTEfUffAMZFwYjtO4YKYQKGT+HhVQBeVEpJ091VKCy4iNgbZqbz5PjYYWzfMVSjT3ICHyewcdp3aB1RE/ghyxfsevBcaKxMCDWudReqKVbgY2BLJrpqxRqsXrkqGcn12rkAEueIZASTcXxmdLCwSikm+KhJVwL4d0T0LICHEalHf46ohipTsSwUlhQRi/fPAvDjojrMD0s+UJPOGq0e6j932uSWtXltbC7cVtQ6YrVt3dJu4wSdEJieo+852Ft01Yo16JozH/2dE7h1/QaceO4QzowOYsve8SROYJrJqDOC9NIxOvoGjJm7HLjLC5/Cw7crpd6hlHoXgOsADCulfhfA1wBwD64HsD3+/Wj8H/H+YeURzGDC0xO7JMbHDicPgtcp5v8mb4vcD9glhfQMyf64UhBs/WsmZL/0wcFlA5nsIHmsz3X1j0y4650YSTxAMtHSFEjr7p1nDbTJdjLoxvfG+U2cy5QXeeIMnwbwSSI6isgmuD/efj+AN8fbPwngtrQT/ejMy8mkGp8c/y17xxM3Z1qyHJCuLplSvpkoOHPWpiLpFfuKRto5JbHJ9jKvSn9GemXy0NGfn4f+XGQAbaTt6hoPm55QJ+MGuvNEqsMdfQOJ84Qlgzxvkd6kUkSgZ5x/vrrt3y5M9P6io7VANNLrtVlN7llgqniZjQFMgb5GRYR1yIDVx959NHUqqn4Pej9dz1tnxLSkSZ1ATaqPjSnkcTrkeW1Zqh19A9jwR3947kegZ7TX6oF5RlhdSrBBbSJs05zo2mWw6tFqRkjytSZG6oiRU6VNkkw6FmypEbZr6eeTlbr5eci8IvmfR3OG7lKVEWc9bqO3cUHW582KUjADkH16Ih8LRKrCnctnJnqlLspNk4LM7tkIRS+tmgc6cQK1BA5E98/6OqOjb6Au89f1rOU+foameQe6NGJilqM4t1m9clXdHARWo+QxDI7b3LH7bN072L5jqObarsEuFKVhhryjKr9Al32gT/LXH7ScAlomRgDqff26wSxzlpiI+jsnsH3HkHUWmPQeSSaQE5hM6Q424mMiZrBhK9WbKwdurPEU8TH6Qorc/zt2n625NtuWzEAyXywvSsMMoR4N/RhgKmKpQ5aVlJ6jvBOFfPpUJPi56GnhsuKGvnAggGQhEJk4KBlBRoeBqXnnwyfbE8JdvXIVtuwdT7w3+jJW3C/um0090mvUsjHM9Wf5fHfsPouOvoGE0Dv6BnDlwI3o6Buo85QVoSIBJTGgL7jgAnXZwoXJ/xApIYlPqg82G8G1Bhkn7smqGjYjW+6Tunij5xkwOHNTRsT11HS9X/pvCXm+ELVjKlLfjtUrVyW5QzxzkCG9QtyO1Sf9XD5TOfl8Uopte3jLuW9AvzxRG+31HV114tB1aB0yfTtPtqs8lx6Yy8oIMmBmigPowTBJuABqVtqR9yZTpuV1dEiXNjNCR99AIg108LY7l89MVDYm4FvXb0j6wKO5PO+Z0cEaRtBnrElj2jabbf+R44nU0IsgZ0UpmIGnfboCbjpMxKEH2+SyTAwWszbidsG0dJNEFkawTZmUzCHvk5+RbkzLCVA8KPgU12L1SRY0Y5UEqF1JSSbQScgqJvzNx99131dqiF4yBEP/LaWcNMy5HTsEuF9FlYoppZoEhE8qcSWTySp0svK2rmJw1JnVJF3tkAllJgkUygy2oJc0avVvCakWym2mPCldiu7b+Ugy2aZ3YqTmmbjUFFZluIgCT8UFpp4TP2duz/GdtZtGE+bS1bCOvgEs7JmNJwY316hpeiEAnvZpYvK8hYdLwQxcHSPEiPZRpWzLJskXIV8qG6O2UpZFMwNgn2Zp2s6Equvbkkj27XzEuqxUmhoqdX5TOgcTeVqmrmQGOdCEuD/l3BCbhNMHiGnBDFIyZDWedcLR4SKwNMPaZpiakMd4tkkA3mYjJmYQqUrpxONSmVj3lkmQ8nouSSEJX4fOACwldMNaXls+Y+6XyVvEXjC5Muq0KUkvR620UV8alHrxXlcwST9eIloMpbWxBX06p7QVWP0xzcxjYuH7kmVppE1l0q05NR6YUrf0eR2SETgb2BT44t9sL+jMy65tCT26zC5WjpHYVkSVDB9ia7pQGmZw6f865EvWS5qYcu75GNM2Ti2wjW4+UsGVyJcVpvvnyDr7+HVfPsNmUO7b+UjdPt01LW0H6TaV7WVM46Gb+5L758HEd707U9/PjA5irH1RYiQzE+sp5fpqpEW4s0vDDBI+9oApjVhu11O6TW7PImICRTMBwyYp2S3MZSpd0I+VagVQ64nic3fNmV8nfVwZu7p6OT52uG6qpl7NhBmZbSAuKMZMoK/TIGsvye3jY4eTwbCIYGcpmYFHr5AbdI147DWR3htdgqTVZTJJhbyM4JMfJPvJIzEQES6nJnA7hq4SSX88EDGFzgjbdwxh3dLupI2cdMNgAjaN6MwYvHh62zPb6qZz8ow2TsEYPtleU1/KFC/QR32pEuXJZzOhdMwgud1n1GZicXlPANQYWjqjsKqUZZpoHjvDdn+610fmXcn8KdNMPGYC+Qz1SK3tWfH5pCrE80ak7SCZU4dtuQA9wDbWvshYnl7/Le9N9r0RCx6Wjhl8ud2mRthsBm5rcmMyIfCHX6SLORqlHun91J+FaeqjzDvSq/jxSCpTN4B6fZ0lTn/nBFavXJUQNdtSLF2k94ilpZQe/Mw4em3KbuWFWnS9n/tcVEQ5FKVghhkzXg/AXs05DZIBdPtBP6+JIXxsB5s7VTJMUWqTbu9I1YQDVkzkV61Ykxwnixjw9n07H0kI2RSck/chVSaT14f7KJPxZPl4yaBnRgdx6/oNNc+E06/1SoP6etISPtHlonLBShFnIKIzADzK/ZYab4FWDuccxLl+D71KqY70ZmaUogo3gLE8wZIygIj2V/fQWhDR/jzHl0JNqlChDKiYoUKFGGVhhi+1ugMFoLqH1iNX/0thQFeoUAaURTJUqNByVMxQoUKMljMDEa0korF4pZ/UUpStAhFtJaIXieig2PYmItoVr160i4hmx9uJiO6N7+kAEV3eup4nfX0nEX2NiI4Q0SEiWh9vPyfugYjaiehJIvpO3P8/ibcXtoIUlFIt+wA4D8AxRIsqzADwHQDzWtknR1+XArgcwEGx7W4At8W/bwPw+fj3NQD+EVF5/isAfKsE/b8IwOXx7w4A3wMw71y5h7gfF8S/2wB8K+7XNgDXxdv/AsDvxb9vBvAX8e/rAPxN6jVafIPvBfC4+H87gNtbTTiO/r5LY4YxABcJYhuLf/93AB80tSvLB1HV9KvPxXsA8AYATwF4D6KI+fk6PQF4HMB749/nx+3Idd5Wq0nJKj8x5ApA5wI6lVIvAED8/dZ4e6nvK1YZ+hCNrufMPcSLbD4N4EUAuxBpFV4rSAHgFaSsaDUzeK3ycw6itPdFRBcA+FsAf6CU+omrqWFbS+9BKfULpdRliBbHWQJgrqlZ/B3c/1YzQ7LKTwy5AtC5gJNEdBEAxN8vxttLeV9E1IaIEf5KKfV38eZz6h4AQCn1EoA9iGyGwlaQajUzfBvAJbFHYAYiQ+fRFvcpBHKVIn31og/HHpkrAJxmVaRViFdcvR/AEaXUF8Suc+IeiOiXiejC+PfrAfwGoqWYi1tBqgTG0DWIPBvHAPxhq/vj6OdfA3gBwCSiUeejiHTQ3QC+H3+/KW5LAO6L7+m7ABaXoP+/hkhNOADg6fhzzblyDwAWAhiN+38QwB3x9m4ATwI4CuARADPj7e3x/6Px/u60a1TpGBUqxGi1mlShQmlQMUOFCjEqZqhQIUbFDBUqxKiYoUKFGBUzVKgQo2KGChVi/H/rsWpoPhqAQwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kmeans import kmeans\n",
    "from matplotlib.pyplot import imread\n",
    "img = imread('sample0.jpg')\n",
    "fea = img.reshape((img.shape[0]*img.shape[1], 3)).astype(np.float64)\n",
    "# YOUR (SEVERAL LINES) CODE HERE\n",
    "# begin answer\n",
    "labels, ctrs, _ = kmeans(fea, 8)\n",
    "compressed_fea = []\n",
    "for i in range(labels.shape[0]):\n",
    "    compressed_fea.append(ctrs[labels[i]])\n",
    "compressed_fea = np.array(compressed_fea)\n",
    "# end answer\n",
    "plt.figure()\n",
    "plt.imshow(fea.reshape(img.shape).astype(np.uint8))\n",
    "plt.figure()\n",
    "plt.title('K = 8')\n",
    "plt.imshow(compressed_fea.reshape(img.shape).astype(np.uint8))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
